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Finding the Fourth Proportional to 5,524.56, 7,624.10 and 3,167.16

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Solution

The fourth proportional to 5,524.56, 7,624.10 and 3,167.16 is: 4,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.56 : 7,624.10 = 3,167.16 : x
  2. Step 2: Convert to fraction form
    5,524.56/7,624.10 = 3,167.16/x
  3. Step 3: Cross multiply
    5,524.56x = 7,624.10 × 3,167.16
  4. Step 4: Simplify right side
    5,524.56x = 24,146,744.56
  5. Step 5: Solve for x
    x = 24,146,744.56/5,524.56
  6. Step 6: Final answer
    x = 4,370.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.